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Particle dynamics on a cosine path.

  • Thread starter gilgtc
  • Start date
  • #1
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Hello, I have attached the problem that I am refering to.

Basically I have a particle traveling on a path defined by a cosine function and I want the equations of motion with respect to the inertial system, if the particle is under the influence of friction and gravity.

I have calculated the equation of motion with respect to the moving coordinate system s but I am not sure how to relate that to x1 and x2 (the inertial system) which is what I ultimately need.

Your help is very much appreciated.

Thank you,

gilgtc
 

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Answers and Replies

  • #2
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The bob of a pendulum started from height "h" will exhibit motion defined by a cosine function. Because of friction in the piviot the pendulum will not oscillate indefinitely rather it will exhibit damped harmonic motion. I believe this is a classic Differential equation problem.
 

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